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A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator

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Inequalities

Abstract

We give a proof of the Lieb-Thirring inequality in the critical case d=1, γ = 1/2, which yields the best possible constant.

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Hundertmark, D., Lieb, E.H., Thomas, L.E. (2002). A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator. In: Loss, M., Ruskai, M.B. (eds) Inequalities. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55925-9_28

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  • DOI: https://doi.org/10.1007/978-3-642-55925-9_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62758-3

  • Online ISBN: 978-3-642-55925-9

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